A Class of Eight Order Iterative Methods for Solving Nonlinear Equations.

Ibrahim Ahmed Al-Subaihi, Ather Sa'ad Al-Hazmi

Abstract

In this paper, we presented a new class of optimal eighth-order methods for solving simple roots of nonlinear equations. The class is developed by combining a special case of King’s fourth-order method and Newton’s method as a third step using the forward divided difference and multiplication of three weight function. Some numerical comparisons have been considered to show the performance of the proposed method.